A toy company manufactures two types of dolls, A and B. Markets tests and available resources have indicated that the combined production level should not exceed 1200 dolls per week and the demand for dolls of type B is almost half of that for dolls of type A. Further the production level of dolls of type A can exceed three times the production of dolls of other type by almost 600 units. If the company makes profit of Rs. 12 and Rs.16 per doll respectively on dolls A and B, how many of each should be produced weekly in order to maximise the profit?